If a tank holds 5000 gallons of water, which drains from the bottom of the tank in

Question:

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli’s Law gives the volume V of water remaining in the tank after t minutes as

Find the rate at which water is draining from the tank after

(a) 5 min,

(b) 10 min,

(d) 40 min.

At what time is the water flowing out the fastest? The slowest? Summarize your findings.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Feb 16, 2019 12:35 PM

See More Questions

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes....
A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes....
A woman is draining her fish tank by siphoning the water into an outdoor drain, as shown in Figure P14.74. The rectangular tank has footprint area A and depth h. The drain is located a distance d...
In Exercises 1138, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = -5, passing through (-4, -2)
Assume that an investor buys 100 shares of stock at $35 per share, putting up a 75% margin. a. What is the debit balance in this transaction? b. How much equity funds must the investor provide to...
Describe the surface with the given parametric representation. r(u, v) = (u, u + v, 2-u-v), for 0 u 2,0 y 2
Show that, in the case of a degenerate gas of fermions $\left(T \ll T_{F} ight)$, the correlation function $g(r)$, for $r \gg \hbar / p_{F}$, reduces to the expression \[g(r)-1=-\frac{3(m k...
The following data are accumulated by Bio Metrics Inc. in evaluating two competing capital investment proposals: Determine the expected average rate of return for eachproposal. Testing Equipment...
Following is a trial balance of City of Jeddah's General Fund at December 3 1 , 2 0 2 2 . Prepare: ( a ) a statement of revenues, expenditures, and changes in fund balance for the year ended...
The frequency distribution shows the blood glucose levels (in milligrams per deciliter) for 50 patients at a medical facility. Construct a histogram, frequency polygon, and ogive for the data....
(a) The volume of a growing spherical cell is V = 4/3r 3 , where the radius r is measured in micrometers (1 m = 10 -6 m). Find the average rate of change of V with respect to r when r changes from...
The force F acting on a body with mass m and velocity v is the rate of change of momentum: F = (d/dt)(mv). If m is constant, this becomes F = ma, where a = dv/dt is the acceleration. But in the...
Determine the convergence or divergence of the series. 18 n= 3n n
Validity of measures is a critical concept in hiring: it is needed to identify those who will be better workers, and it is needed to legally defend the selection process. In the case of using social...
Might it be desirable to use a combination of team-based and individual incentives at Lakeside Utility Company? How might such a plan be structured? Lakeside Utility Company provides electrical power...
A big challenge for the GM managers at the auto plant making the Chevrolet Sonic will be maintaining positive employee morale. They will be managing a workforce of 1,550 employees that is composed of...
In a role-playing exercise, one of the students is asked to take the position in favor of heavy reliance on internal referrals, in particular by combing social sites. Another student is asked to...
The HR director of an investment bank has called a meeting of senior employees to discuss the years bonuses. While rival banks are giving out bonuses of over $3 million to each senior employee, the...
Toluene is to be nitrated to produce trinitrotoluene (TNT) C7H5(NO2)3 according to the reaction C6H5CH3 (liq) + 3 HNO3 (liq) (s) + 3 H2O (liq) Calculate the heat of reaction at 25C given the 7 CO2...
The graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. -3 6 -6 3 x
If an electrostatic field E acts on a liquid or a gaseous polar dielectric, the net dipole moment P per unit volume is Show that e + e-* eE e-E P(E) =- limo P(E) = 0. E-o+
If a metal ball with mass m is projected in water and the force of resistance is proportional to the square of the velocity, then the distance the ball travels in time t is where c is a positive...
(a) By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 10. In each case sketch...
A point +1 C charge and another point charge Q are 40 cm apart. At the point along the line joining the two charges that is 10 cm from the +1 C charge (and hence 30 cm from charge Q), the net...
A point charge of +15 nC is placed at the origin of a rectangular coordinate system. a. Determine the vector electric field at P(10m, 5m, -6m). b. With the +15 nC charge still at the origin,...
A 1200 kg car traveling north at 10 m/s is rear-ended by a 2000 kg truck traveling at 28 m/s. What is the total momentum before and after the collision? before collision after collision kg.m/s kg.m/s

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in

Question:

V = 5000(1 – ) 0

Step by Step Answer:

a b c d The water is flowing out the fastest at ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions